Search a number
-
+
67032047744 = 271730805169
BaseRepresentation
bin111110011011011010…
…111110000010000000
320102000120121211202222
4332123122332002000
52044240201011434
650443305230212
74562055001424
oct763332760200
9212016554688
1067032047744
1126478930672
1210ba8a92368
1364235a419c
14335c792b84
151b24c9c72e
hexf9b6be080

67032047744 has 32 divisors (see below), whose sum is σ = 141395730300. Its totient is φ = 31544492032.

The previous prime is 67032047737. The next prime is 67032047773. The reversal of 67032047744 is 44774023076.

67032047744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52756577344 + 14275470400 = 229688^2 + 119480^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 67032047695 and 67032047704.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15400409 + ... + 15404760.

Almost surely, 267032047744 is an apocalyptic number.

67032047744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

67032047744 is an abundant number, since it is smaller than the sum of its proper divisors (74363682556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67032047744 is a wasteful number, since it uses less digits than its factorization.

67032047744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30805200 (or 30805188 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 44.

The spelling of 67032047744 in words is "sixty-seven billion, thirty-two million, forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 30805169 61610338 123220676 246441352 492882704 523687873 985765408 1047375746 1971530816 2094751492 3943061632 4189502984 8379005968 16758011936 33516023872 67032047744